Answer:
Julie has 6 photos that she wants to rearrange.
Two of them are fixed at the middle position.
=> There are 4 photos left for rearranging.
=> This is the permutation with n = 4, k = 4.
=> The number of ways Julie can arrange the photos:
N = 4 x 3 x 2 x 1 = 24 ways
Hope this helps!
:)
Answer: 
Step-by-step explanation:
Given
Height of rectangle is 
Width is 
The area of the rectangle is given by the multiplication of the height and width
Thus, the area of the rectangle is .
Given: <span>10g^2+33g=9-2g^2
Group the q^2 terms first, then the q terms, and finally the constants:
12g^2 + 33q - 9 = 0. Make sure you agree with this, or otherwise fix it.
Tools for solving quadratic equations include the following and more:
graphing
quadratic formula
completing the square
I've graphed this simplified quadratic on my TI-83 calculator and see that -3 seems to be a root. Let's check it!
________________
-3 / 12 33 -9
-36 9
---------------------
12 -3 0 Since the remainder is zero, -3 is a root and (x+3) is a factor. The other factors are 3 and (4x -1)
Then 3(4g-1)(g+3) = 0, with the result that g = 1/4 and g = -3.
Please check these roots by subst. into the original equation.</span>
X is 35, if you follow the rules of alternate angles
Answer:
p = 250 - 15(w)
Step-by-step explanation:
Original amount: 250
No of weeks to return money: w
Amount to pay each week: 15
Amount that he has paid back: 15 × w (When we subtract this term from the total we will get the answer)
So after w weeks he owes his parents :
p = 250 - 15(w)
